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环的(λ,μ)-反模糊同态
(λ,μ)-anti-fuzzy Homomorphism of Rings
【摘要】 在(λ,μ)-反模糊子环与(λ,μ)-反模糊理想概念的基础上,利用(λ,μ)-模糊映射给出了环的(λ,μ)-反模糊同态的定义,进而探讨了(λ,μ)-反模糊同态下(λ,μ)-反模糊子环与(λ,μ)-反模糊理想的对应关系,最后建立了环的(λ,μ)-反模糊同态基本定理。
【Abstract】 Based on the concept of(λ,μ)-anti-fuzzy subring and(λ,μ)-anti-fuzzy ideal, the concept of(λ,μ)-anti-fuzzy homomorphism of rings was given with the(λ,μ)-fuzzy mapping. Also, the corresponding relations of(λ,μ)-anti-fuzzy subring and(λ,μ)-anti-fuzzy ideal under(λ,μ)-anti-fuzzy homomorphism were discussed. Finally, the fundamental theorem of(λ,μ)-anti-fuzzy homomorphism for rings were established.
【关键词】 (λ,μ)-反模糊子环;
(λ,μ)-反模糊理想;
(λ,μ)-模糊映射;
(λ,μ)-反模糊同态;
【Key words】 (λ,μ)-anti-fuzzy Subring; (λ,μ)-anti-fuzzy Ideal; (λ,μ)-fuzzy Mapping; (λ,μ)-anti-fuzzy Homomorphism;
【Key words】 (λ,μ)-anti-fuzzy Subring; (λ,μ)-anti-fuzzy Ideal; (λ,μ)-fuzzy Mapping; (λ,μ)-anti-fuzzy Homomorphism;
【基金】 国家自然科学基金资助项目(11471152)
- 【文献出处】 模糊系统与数学 ,Fuzzy Systems and Mathematics , 编辑部邮箱 ,2019年01期
- 【分类号】O159
- 【下载频次】40